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99876541320 = 2334530826093
BaseRepresentation
bin101110100000100011…
…0110001001110001000
3100112210120022222210000
41131001012301032020
53114021343310240
6113514352523000
710134014410443
oct1350106611610
9315716288700
1099876541320
11393a2781836
1217434550460
13955907447a
144b968c465a
1528e849e430
hex17411b1388

99876541320 has 80 divisors (see below), whose sum is σ = 335696163660. Its totient is φ = 26633743488.

The previous prime is 99876541283. The next prime is 99876541321. The reversal of 99876541320 is 2314567899.

99876541320 is a `hidden beast` number, since 9 + 9 + 8 + 76 + 541 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98851132836 + 1025408484 = 314406^2 + 32022^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99876541321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15409807 + ... + 15416286.

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876541320 = 199753082640, but 3⋅99876541320 = 299629623960 is not.

Almost surely, 299876541320 is an apocalyptic number.

99876541320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99876541320 is an abundant number, since it is smaller than the sum of its proper divisors (235819622340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99876541320 is a wasteful number, since it uses less digits than its factorization.

99876541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30826116 (or 30826103 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99876541320 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 30826093 61652186 92478279 123304372 154130465 184956558 246608744 277434837 308260930 369913116 462391395 554869674 616521860 739826232 832304511 924782790 1109739348 1233043720 1387174185 1664609022 1849565580 2219478696 2496913533 2774348370 3329218044 3699131160 4161522555 4993827066 5548696740 6658436088 8323045110 9987654132 11097393480 12484567665 16646090220 19975308264 24969135330 33292180440 49938270660 99876541320